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How to simplify (2x - 3)^2 - 2x(2x - 5)

  • Thread starter tehmatriks
  • Start date
  • #1
40
0

Homework Statement


simplify (2x-3)² - 2x(2x-5).


Homework Equations





The Attempt at a Solution


(2x-3)² - 2x(2x-5)
to
2x² + 9 - 4x² + 10x
to
2x² + 9 + 10x
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
250
hi tehmatriks! :wink:

sorry, but your (2x-3)² is completely wrong :redface:

if you can't do it in your head, write it as (2x-3)(2x-3) first, and then expand it :smile:
 
  • #3
40
0


hi tehmatriks! :wink:

sorry, but your (2x-3)² is completely wrong :redface:

if you can't do it in your head, write it as (2x-3)(2x-3) first, and then expand it :smile:
thanks, the whole time i was staring at the (2x-3)² and was just thinking about how wrong i was doing it, i always forget that double bracket thing when it comes to these situations, just dont get these much

thanks again man, here's the final result

(2x-3)² - 2x(2x-5)
to
(2x-3)(2x-3) - 2x(2x-5)
to
4x - 6x - 6x + 9 - 4x + 10x
to
9 - 2x
 
  • #4
33,496
5,188


thanks, the whole time i was staring at the (2x-3)² and was just thinking about how wrong i was doing it, i always forget that double bracket thing when it comes to these situations, just dont get these much

thanks again man, here's the final result

(2x-3)² - 2x(2x-5)
to
(2x-3)(2x-3) - 2x(2x-5)
to
4x - 6x - 6x + 9 - 4x + 10x
to
9 - 2x
Use = between expressions that have the same value.

(2x-3)2 - 2x(2x-5)
= (2x-3)(2x-3) - 2x(2x-5) -- so far, so good
After that, things go downhill.
(2x)(2x) = 2*2*x*x = ?

And -2x(2x - 5) = -2x * 2x -2x * (-5) = ?
You have to distribute the -2x over both terms inside the parentheses.
 
  • #5
40
0


Use = between expressions that have the same value.

(2x-3)2 - 2x(2x-5)
= (2x-3)(2x-3) - 2x(2x-5) -- so far, so good
After that, things go downhill.
(2x)(2x) = 2*2*x*x = ?

And -2x(2x - 5) = -2x * 2x -2x * (-5) = ?
You have to distribute the -2x over both terms inside the parentheses.
dammit, it's always the simplest of things that i forget

(2x-3)(2x-3) - 2x(2x-5)
to
4x2 - 6x - 6x + 9 - 4x2 + 10x
to -12x + 10x + 9 = 9 - 2x

thanks mark, you're a legend :smile:
 
  • #6
33,496
5,188


Much better.

The things that you're forgetting are the result of not learning them very well in the first place. If you want to get better at this, I would advise going back and reviewing binomial multiplication (problems like expanding (2x + 3)2) and the distributive law (a(b + c) = ab + ac).
 

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